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    A Circular Inclusion With Circumferentially Inhomogeneous Sliding Interface in Plane Elastostatics

    Source: Journal of Applied Mechanics:;1998:;volume( 065 ):;issue: 001::page 30
    Author:
    C. Q. Ru
    DOI: 10.1115/1.2789042
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A general method is presented to obtain the rigorous solution for a circular inclusion embedded within an infinite matrix with a circumferentially inhomogeneous sliding interface in plane elastostatics. By virtue of analytic continuation, the basic boundary value problem for four analytic functions is reduced to a first-order differential equation for a single analytic function inside the circular inclusion. The finite form solution is obtained that includes a finite number of unknown constants determined by the analyticity of the solution and certain other auxiliary conditions. With this method, the exact values of the average stresses within the circular inclusion can be calculated without solving the full problem. Several specific examples are used to illustrate the method. The effects of the circumferential variation of the interface parameter on the mean stress at the interface and the average stresses within the inclusion are discussed.
    keyword(s): Stress , Differential equations , Boundary-value problems AND Functions ,
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      A Circular Inclusion With Circumferentially Inhomogeneous Sliding Interface in Plane Elastostatics

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    http://yetl.yabesh.ir/yetl1/handle/yetl/119970
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    contributor authorC. Q. Ru
    date accessioned2017-05-08T23:55:45Z
    date available2017-05-08T23:55:45Z
    date copyrightMarch, 1998
    date issued1998
    identifier issn0021-8936
    identifier otherJAMCAV-26435#30_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/119970
    description abstractA general method is presented to obtain the rigorous solution for a circular inclusion embedded within an infinite matrix with a circumferentially inhomogeneous sliding interface in plane elastostatics. By virtue of analytic continuation, the basic boundary value problem for four analytic functions is reduced to a first-order differential equation for a single analytic function inside the circular inclusion. The finite form solution is obtained that includes a finite number of unknown constants determined by the analyticity of the solution and certain other auxiliary conditions. With this method, the exact values of the average stresses within the circular inclusion can be calculated without solving the full problem. Several specific examples are used to illustrate the method. The effects of the circumferential variation of the interface parameter on the mean stress at the interface and the average stresses within the inclusion are discussed.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Circular Inclusion With Circumferentially Inhomogeneous Sliding Interface in Plane Elastostatics
    typeJournal Paper
    journal volume65
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2789042
    journal fristpage30
    journal lastpage38
    identifier eissn1528-9036
    keywordsStress
    keywordsDifferential equations
    keywordsBoundary-value problems AND Functions
    treeJournal of Applied Mechanics:;1998:;volume( 065 ):;issue: 001
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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